Question: 2. Consider the subset V C R given by V = { (x, y, 2) ER3 : x+ y - z = 0). a) Prove

2. Consider the subset V C R given by V = { (x, y, 2) ER3 : x+ y - z = 0). a) Prove that V is a subspace. b) Find a basis B for V and prove that B is a basis. c) Using the standard inner product on R3, use the Gram-Schmidt process to find an orthogonal basis for V d) Find the vector in V closest to (1, 0. 0) E R3

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